Stratified Double Sampling with Continuous Outcomes: Design and Analysis |
| |
Authors: | Ori Davidov Chang Yu |
| |
Institution: | 1. Department of Statistics , University of Haifa , Haifa , 31905 , Israel;2. Merck Research Labratories , USA |
| |
Abstract: | We provide a method for estimating the sample mean of a continuous outcome in a stratified population using a double sampling scheme. The stratified sample mean is a weighted average of stratum specific means. It is assumed that the fallible and true outcome data are related by a simple linear regression model in each stratum. The optimal stratified double sampling plan, i.e. , the double sampling plan that minimizes the cost of sampling for fixed variances, or alternatively, minimizes the variance for fixed costs, is found and compared to a standard sampling plan. The design parameters are the total sample size and the number of doubly sampled units in each stratum. We show that the optimal double sampling plan is a function of the between-strata and within-strata cost and variance ratios. The efficiency gains, relative to standard sampling plans, under broad set of conditions, are considerable. |
| |
Keywords: | Double Sampling Efficiency Fallible And True Outcomes Optimal Design Stratified Sampling |
|
|